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Fractions

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by beater » Wed Dec 31, 2008 1:14 pm
A straight pipe 1 yard in length was marked off in fourth and also in thirds. If the pipe was then cut into separate pieces at each of these markings, which of the following gives all the different lengths of the pieces, in fractions of a yard?

A.1/6 and 1/4 only
B.1/4 and 1/3 only
C.1/6, 1/4, and 1/3
D.1/12, 1/6 and 1/4
E.1/12, 1/6, and 1/3
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Source: — Problem Solving |

by cramya » Wed Dec 31, 2008 1:27 pm
I would go with D) (hope its right)

First 1/4(=3/12th) piece will be cut

When u go to cut the 1/3rd(=4/12th) that piece will only be
1/3-1/4 or 4/12-3/12= 1/12

When u go to to cut the next 1/4 or3/12th, 1/12 th will be gone leaving us wiht 3/12-1/12 = 2/12 =1/6

1/4,1/12,1/6
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Re: Fractions

by logitech » Wed Dec 31, 2008 1:40 pm
in fourth and also in thirds ..find the LCM(3:4) 12

SO:

0---3-4--6--8--9--12

so this is how it looks like. you can see there are different pieces

3/12 = 1/4
1/12 = 1/12
2/12 = 1/6
1/12 = 1/12
3/12 = 1/4
LGTCH
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